Abstract
The Abraham-Loreentz equation for the harmonic oscillator is reconsidered. Quantization of the system is performed by applying Ostrogradsky's formalism of generalized momenta to a Lagrangian which contains higher than first derivatives in time. The final six-dimensional phase-space does not allow the interpretation as phase-space of a three-boson-system but only as one of one boson, its antiboson and a “ghost”.
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